Advertisements
Advertisements
प्रश्न
In the following figure, an equilateral triangle ABC of side 6 cm has been inscribed in a circle. Find the area of the shaded region. (Take π = 3.14).
उत्तर
We have to find the area of the shaded portion. We have`ΔABC`which is an equilateral triangle and`AB=6 cm`. Let r be the radius of the circle.
We have O as the circumcentre.
`∠OBA=30°`
So,
`Cos (30°)=3/r`
Thus, r=`2sqrt3`
So area of the shaded region,
=Area of the circle-ar(ΔABC)
`=(3.14)(2sqrt3)^2-sqrt3/4(6)^2`
`=(37.68-15.59)cm^2`
`= 22.126cm^2`
APPEARS IN
संबंधित प्रश्न
A 36-m-long, 15-m-borad verandah is to be paved with stones, each measuring 6dm by 5 dm. How many stones will be required?
The cost of fencing a square lawn at ₹ 14 per meter is ₹ 28000. Find the cost of mowing the lawn at ₹ 54 100 per `m^2`
A chord of a circle of radius 20 cm sub tends an angle of 900 at the centre . Find the area of the corresponding major segment of the circle
( Use \[\pi = 3 . 14\])
In the following figure a square OABC is inscribed in a quadrant OPBQ of a circle. If OA = 21 cm, find the area of the shaded region.
If the diameter of a semi-circular protractor is 14 cm, then find its perimeter.
If the area of a circle is equal to the sum of the areas of two circles of diameters 10 cm and 24 cm, then diameter of the large circle (in cm) is
From a thin metallic piece in the shape of a trapezium ABCD in which AB || CD and ∠BCD = 90°, a quarter circle BFEC is removed. Given, AB = BC = 3.5 cm and DE = 2 cm, calculate the area of remaining (shaded) part of metal sheet.
A lawn is in the shape of a semicircle of diameter 42m. the lawn is surrounded by a flower bed of width 7m all round. Find the area of the flower bed in m2.
Diameter of a circular garden is 9.8 m. Find its area.
A table cover of dimensions 3 m 25 cm × 2 m 30 cm is spread on a table. If 30 cm of the table cover is hanging all around the table, find the area of the table cover which is hanging outside the top of the table. Also find the cost of polishing the table top at ₹ 16 per square metre.
